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Finding the Third Proportional to 229,860,328.50 and 356,902,023.38

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Solution

The third proportional to 229,860,328.50 and 356,902,023.38 is: 554,158,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,860,328.50 : 356,902,023.38 = 356,902,023.38 : x
  2. Step 2: Convert to fraction form
    229,860,328.50/356,902,023.38 = 356,902,023.38/x
  3. Step 3: Cross multiply
    229,860,328.50x = 356,902,023.38 × 356,902,023.38
  4. Step 4: Simplify right side
    229,860,328.50x = 127,379,054,289,169,040
  5. Step 5: Solve for x
    x = 127,379,054,289,169,040/229,860,328.50
  6. Step 6: Final answer
    x = 554,158,497.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.